<PRE><B>Question 758899</B>
Substitution method:&lt;P&gt;
1.  Solve one equation for one of the variables.&lt;P&gt;
2.  Substitute that value for the variable in the second equation.&lt;P&gt;
3.  Solve the second equation for the remaining variable.&lt;P&gt;
4.  Substitute that value into the first equation to find the value of the first variable.&lt;P&gt;
1. 6x - 5y = 3&lt;P&gt;
6x = 5y + 3&lt;P&gt;
x = (5/6)y + 1/2&lt;P&gt;
2. 4x + 3y = 21  (sub (5/6)y + 1/2 for x)&lt;P&gt;
4((5/6)y + 1/2) + 3y = 21&lt;P&gt;
(20/6)y + 2 + 3y = 21&lt;P&gt;
(10/3) y + (9/3)y = 19&lt;P&gt;
19y = 57&lt;P&gt;
y = 3&lt;P&gt;
x = (5/6)y + 1/2&lt;P&gt;
x = (5/6)* 3 + 1/2 = 5/2 + 1/2 = 6/2 = 3</PRE>